%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.90s 1.24s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f3,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
tcf(c_53,negated_conjecture,
c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] : c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : c_union(c_emptyset,X0,X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_insert(X0,c_union(X1,X2,X3),X3) = c_union(c_insert(X0,X1,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,plain,
c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_53,c_54]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] : c_union(c_insert(X0,c_emptyset,X1),X2,X1) = c_insert(X0,X2,X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_121,plain,
c_Message_Oparts(c_union(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_68,c_120]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_union(c_insert(X0,c_insert(X1,c_emptyset,X2),X2),X3,X2) = c_insert(X0,c_insert(X1,X3,X2),X2),
inference(superposition,[status(thm)],[c_120,c_56]) ).
tcf(c_125,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(demodulation,[status(thm)],[c_121,c_124]) ).
tcf(c_126,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Thu Sep 24 18:55:47 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.44 Running UEQ theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.48 % Proving...
% 0.90/1.24 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 0.90/1.24 % SZS status Started for theBenchmark.p
% 0.90/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.24
% 0.90/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.90/1.24
% 0.90/1.24 % ------ iProver source info
% 0.90/1.24
% 0.90/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 0.90/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.90/1.24 % git: non_committed_changes: false
% 0.90/1.24
% 0.90/1.24 % ------ Parsing...% successful
% 0.90/1.24
% 0.90/1.24
% 0.90/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.90/1.24
% 0.90/1.24 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.90/1.24
% 0.90/1.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.90/1.24
% 0.90/1.24 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.90/1.24 % ------ Proving...
% 0.90/1.24 % ------ Problem Properties
% 0.90/1.24
% 0.90/1.24 %
% 0.90/1.24 % clauses 4
% 0.90/1.24 % conjectures 0
% 0.90/1.24 % EPR 0
% 0.90/1.24 % Horn 4
% 0.90/1.24 % unary 4
% 0.90/1.24 % binary 0
% 0.90/1.24 % lits 4
% 0.90/1.24 % lits eq 4
% 0.90/1.24 % fd_pure 0
% 0.90/1.24 % fd_pseudo 0
% 0.90/1.24 % fd_cond 0
% 0.90/1.24 % fd_pseudo_cond 0
% 0.90/1.24 % AC symbols 0
% 0.90/1.24
% 0.90/1.24 % ------ Input Options Time Limit: Unbounded
% 0.90/1.24
% 0.90/1.24
% 0.90/1.24 % ------
% 0.90/1.24 % Current options:
% 0.90/1.24 % ------
% 0.90/1.24
% 0.90/1.24
% 0.90/1.24 %
% 0.90/1.24
% 0.90/1.24 % ------ Proving...
% 0.90/1.24 %
% 0.90/1.24
% 0.90/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.24
% 0.90/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.24
% 0.90/1.24
%------------------------------------------------------------------------------